e2
1
½
0
Non- existent
Let f(x) = |sin x – ½ |. The maximum value attained by f is
½
1
3/2
p/2
3 p/2
-1/2
ln 2- 2
ln 2
2
ln 2+ 2
2
4
8
16
32
Suppose that f is an odd function; i.e., f (-x) = - f (x) for all x. Suppose that f (x0) exists. Which of the following must necessarily be equal to f (-x0)?
f’ (x0 )
-f’ (x0 )
None of the above
The region in the first quadrant bounded by the graph of y = secx, x= p/4, and the axes is rotated about the x-axis. What is the volume of the solid generated?
If tan(x/y) = x , then dy /dx =
If the solutions of f (x) = 0 are –1 and 2, then the solutions of f (x/2 ) =0 are
- 1 and 2
-1/2 and 5/2
-3/2 and 3/2
-1/2 and 1
-2 and 4
None of the above.
1
e
e-1
There is no maximum value for v
II only
III only
I only
I and III only
I and II only
None of the above
12
None of the above